Basic Math Examples

$256 z^{2} - 4 - 192 z^{2} + 3$

Step 1

Subtract $192 z^{2}$ from $256 z^{2}$ .

$64 z^{2} - 4 + 3$

Step 2

Add $- 4$ and $3$ .

$64 z^{2} - 1$

Step 3

Rewrite $64 z^{2}$ as ${(8 z)}^{2}$ .

${(8 z)}^{2} - 1$

Step 4

Rewrite $1$ as $1^{2}$ .

${(8 z)}^{2} - 1^{2}$

Step 5

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 8 z$ and $b = 1$ .

$(8 z + 1) (8 z - 1)$